Dominik Schwarz (Bielefeld):
Newtonian versus Relativistic Cosmology
Abstract:
Data on cosmic
structures are often analyzed by means of Newtonian simulations of
cold dark matter. We discuss how the relativistic matter and
velocity power spectra behave in different gauges. We construct a
new gauge where both spectra coincide with Newtonian theory on all
scales. However, in this gauge there are geometric quantities
present which do not exist in Newtonian theory, for example the
local variation of the Hubble parameter. Comparing this quantity to
second order Newtonian quantities, we find that Newtonian theory
is inaccurate on scales larger than 10 Mpc. This stresses the
importance of relativistic corrections to Newtonian cosmological
Nbody simulations on these scales and contrasts claims about a
correspondence of Newtonian and relativistic cosmology. [Talk will
be based on S.F. Flender and D.J. Schwarz, arXiv.org:1207.2035,
accepted by Phys. Rev. D.].
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